Part 4 of 4- Question 6 of 7 1.5 Points A math class has 70 students enrolled. A survey of those studentsS indicated that 22 had taken a calculus class before and 29 had taken a statistics class before. Further, 10 had taken both calculus and statistics before. The number of students who had taken neither calculus nor statistics before is
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- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?A psychologist at the Hospital was asked to determine whether there was any clear difference in the length of stay (in days) of patients with different categories of diagnosis. The hospital was looking for ways to reduce costs and free up some more beds so that they could treat more patients from the community. They chose three diagnostic categories that they thought were possibly staying the longest and selected the 4 more recent admissions from each of these diagnostic categories: affective disorders, cognitive disorders, and drug-related disorders. The results are presented in Table 3 below. Using an alpha = .05 and showing all the steps of hypothesis testing, is there a significant difference in length of stay among diagnosistic categories?An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.
- A researcher decides to follow a group of 8 individuals taking a specific anti-TNF drug used to treat inflammatory conditions over an 8-year period of time in a study to determine how many of them will develop an immunity to the drug and at what point in time each individual will develop an immunity to the drug. What proportion of individuals did not develop an immunity to the anti-TNF drug during the 8 years they were tracked throughout the study, assuming the study concluded at the 8-year point?To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 The correct interpretation of the meaning of each of the coefficients in the linear model is: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model.…To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 Examine the attached printout and answer the following questions. The correct interpretation of the meaning of each of the coefficients in the linear model is: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one…
- To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model. b. When AGI is zero, the RAID is $4680 in this linear model. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model. c. When…To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 Examine the attached printout and answer the following questions. The correct interpretation of the meaning of each of the coefficients in the linear model is:A study showed that the alumni of a college who had grades that were close to the average tended to have higher incomes than either the poor or very good students who graduated at the same time. Does this mean that very good grades are a handicap for those seeking high incomes? What other factors might cause this result?
- There's a new treatment for addiction and because resources are limited, a program decides it can offer it only to those people whose ASI scores are in the top 10% of scores. What raw score on the ASI would a person have to have to be eligible for the program?Suppose that in the previous semester, the percentages of students in the five sections of ECO 204 were 20%, 21%, 19%, 15% and 25%. However, in the current semester, among a sample of 200 students, the student distribution among five sections is 51, 49, 30, 20 and 50. Can we conclude that there has been a statistically significant change in the student proportions?A seven-year medical research study reported that women whose mothers took the drugDES during pregnancy were twice as likely to develop tissue abnormalities that might leadto cancer as were women whose mothers did not take the drug.a. This study compared two populations. What were the populations?b. Do you suppose the data were obtained in a survey or an experiment?c. For the population of women whose mothers took the drug DES during pregnancy, asample of 3980 women showed that 63 developed tissue abnormalities that might leadto cancer. Provide a descriptive statistic that could be used to estimate the number ofwomen out of 1000 in this population who have tissue abnormalities.d. For the population of women whose mothers did not take the drug DES duringpregnancy, what is the estimate of the number of women out of 1000 who would beexpected to have tissue abnormalities?